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segment AB is dilated from the origin to create segment A prime B prime at A' (0, 6) and B' (6, 9). What scale factor was segment AB dilated by?

User Tomy
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2 Answers

5 votes

Answer:

Segment AB was dilated by scale factor 3.

Explanation:

The person above is correct tahnk you!!!

User Rocco Milluzzo
by
8.3k points
5 votes

As you forgot to mention the diagram. I was able to find the diagram. Hence, I am attaching and solving the question based on that diagram, which anyways would clear your concept.

Answer:

we conclude that the segment AB was dilated by scale factor 3.

Explanation:

From the diagram, it is clear that the original points A and B are located

at (0, 2) and (2, 3) respectively.

i.e.

  • A(0, 2)
  • B(2, 3)

As the coordinates of the dilated segment A'B' are given as:

  • A'(0, 6)
  • B'(6, 9)

A scale factor is basically a number that multiplies an object or quantity.

For instance, the 'D' in
y = Dx is the scale factor for x.

If the equation were y = 7x, then the factor would have been 5.

As the coordinates of the dilated segment A'(0, 6) and B'(6, 9) are 3 times the coordinates of the original segment A(0, 2) and B(2, 3).

i.e.

A(0, 2) → (0×3, 2×3) = A'(0, 6)

B(2, 3) → (2×3, 3×3) = B'(6, 9)

Therefore, we conclude that the segment AB was dilated by scale factor 3.

segment AB is dilated from the origin to create segment A prime B prime at A' (0, 6) and-example-1
User Yuriy Luchaninov
by
8.4k points

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